122414116000 has 96 divisors (see below), whose sum is σ = 328114463040. Its totient is φ = 44514208000.

The previous prime is 122414115949. The next prime is 122414116003. The reversal of 122414116000 is 611414221.

It is a super-2 number, since 2×122414116000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (122414116003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1347070 + ... + 1435069.

It is an arithmetic number, because the mean of its divisors is an integer number (3417858990).

Almost surely, 2^122414116000 is an apocalyptic number.

122414116000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122414116000 is an abundant number, since it is smaller than the sum of its proper divisors (205700347040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122414116000 is a wasteful number, since it uses less digits than its factorization.

122414116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782175 (or 2782157 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The spelling of 122414116000 in words is "one hundred twenty-two billion, four hundred fourteen million, one hundred sixteen thousand".